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Finding the Fourth Proportional to 6,933.04, 9,567.75 and 4,138

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Solution

The fourth proportional to 6,933.04, 9,567.75 and 4,138 is: 5,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.04 : 9,567.75 = 4,138 : x
  2. Step 2: Convert to fraction form
    6,933.04/9,567.75 = 4,138/x
  3. Step 3: Cross multiply
    6,933.04x = 9,567.75 × 4,138
  4. Step 4: Simplify right side
    6,933.04x = 39,591,349.50
  5. Step 5: Solve for x
    x = 39,591,349.50/6,933.04
  6. Step 6: Final answer
    x = 5,710.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.